Project #24899 - linear Programming

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Solve by using Simplex Tableau

The united motors corporation manufactures compact, mid-size, and full-size cars. For next year the company plans to build at most 500 000 cars, of which a maximum of 80 000 will be full size. To comply with government fuel economy standards for passenger cars, the fleet must average at least 27 mpg (miles per gallon) to avoid extensive fines. United's engineering division have estimated that the compact model will average 35 mpg, the mid-size model will average 24 mpg, and the full size model will average 20 mpg. Each compact model can be expected to bring in a profit of $2000, each mid size model a profit of $3000, and each full size model a profit of $5000. You have been employed by the company to determine how many cars of each size United should build for the upcoming model year, if its profits are to be maximised.